The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, what is the corresponding side of the other triangle?

Given:

The perimeters of two similar triangles are 25 cm and 15 cm respectively.

One side of first triangle is 9 cm.
To do:

We have to find the corresponding side of the other triangle.
Solution:
 We know that,

In similar triangles, the perimeters of the triangles are in the ratio of their corresponding sides.

Let the corresponding side of the other triangle be $x$.

Therefore,

$\frac{25}{15}=\frac{9}{x}$

$25x=9\times15$   (On cross multiplication)

$x=\frac{135}{25}$

$x=\frac{27}{5}$

$x=5.4\ cm$

The corresponding side of the other triangle is 5.4 cm.

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Updated on: 10-Oct-2022

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